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kakasveta [241]
2 years ago
9

What is the Y-Intercept?

Mathematics
1 answer:
antoniya [11.8K]2 years ago
7 0

Answer: The y-intercept is 1

Step-by-step explanation:

On a graph, the y-intercept is the point where the line intersects the y-axis. The corresponding x-coordinate is always 0. ... When a linear equation is written in slope-intercept form (y=mx+b), the slope is represented by the variable m. It is the coefficient to x in the equation.

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Find the equation of the line ALGEBRAICALLY that is perpendicular to the line 5x - 8y + 24 = 0 and
andre [41]

Answer:

Step-by-step explanation:

There are several things we need to do/know to figure this out. First we have to know that the perpendicular slope to a line is the opposite reciprocal of the slope of which it is perpendicular (did that make sense?!). In other words, we have to find the slope of the line 5x - 8y + 24 = 0 and then take the opposite reciprocal of it. Solving for y:

y=\frac{5}{8}x+3 with a slope of 5/8. The perpendicular slope, then, is -8/5. So we have m now in y = mx + b. Now onto the second equation...

The equation for which we need the same x-intercept is 7x - 12y - 70 = 0. The x-intercept exists when y = 0, so filling in a 0 for y:

7x - 12(0) = 70 and

x = 10. Now we know x. We also know, however, that when x = 10, y = 0, so we have everything we need to sub into the linear equation and solve for b:

0 = -8/5(10) + b and

0 = -16 + b so

b = 16 and the equation we are looking for is

y = -8/5x + 16

6 0
3 years ago
Simplify. Rationalize the denominator.<br> -3/5 + √3
Dahasolnce [82]

Answer: -3-5\sqrt{3} / 5

Step-by-step explanation

To write \sqrt{3} as a fraction with a common denominator, multiply by 5/5.

-3/5 + \sqrt{3} * 5/5

Then combine fractions, so that the numeratiors over the common denominator.  

-3 + 5 \sqrt{3} /5

Simplify with factoring out.

Rewrite -3 as -1 (3). Next factor -1 out of 5 \sqrt{3}. Then facotr -1 out of -1(3) - (-5\sqrt{3}). After that move teh negative in front of the fraction.

Exact Form: - 3-5\sqrt{3} / 5

Decimal Form: 1.13

3 0
3 years ago
Write an equation in slope-inte<br> (-3,6); y=1/3x-5
Troyanec [42]

Answer:

6=1/3(-3)-5

Step-by-step explanation:

(x, y)= (-3,6)

Plug x into 1/3x

Plug 6 into y

6=1/3(-3)-5

4 0
3 years ago
By selling a drone for N690, a profit of 15% was made. What was the cost price of the drone?
vivado [14]

Answer:

N688.97

Step-by-step explanation:

Percentage profit = [Selling price - Cost price/Cost price ]× 100

Percentage profit = 15%

Cost price = x = ??

Selling price = N690

Hence:

15% = (690 - x /x)× 100

0.15 = 100(690 - x)/x

Cross Multiply

0.15x = 69000 - 100x

Collect like terms

0.15x + 100x = 69000

100.15x = 69000

x = 69000/100.15

x = 688.96655017.

Approximately = 688.97

Therefore, the Cost price of the drone = x = N688.97

5 0
3 years ago
Helpp me pleasee ╹◡╹
SashulF [63]

Answer:

It would be 4:6

Step-by-step explanation:

2*2=4

3*2=6

they both multiply by 2

hopefully that makes sense.

6 0
3 years ago
Read 2 more answers
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